| Euclid, Robert Simson - 1806 - 518 sider
...nitude- No'es. 11» A line is length without breadth. III. The extremities of a line are points. , IV. **A straight line is that which lies evenly between its extreme points.** V. A superficies is that which hath only length and breadth. The extremities of a superficies are lines.... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...hath no magnitude. " 2. A line is length without breadth. 3. The extremities of a line are points. 4. **A straight line is that which lies evenly between its extreme points.** 5. A superficies is that which hath only length and breadth. 6. The extremitin of a superficies are... | |
| Euclides - 1816 - 528 sider
...magnitude. H. See Notes. A line is length without breadth. III. The extremities of a line are points. IV. **A straight line is that which lies evenly between its extreme points.** . '. .. V. A superficies is that which hath only length and breadth. VI. The extremities of a superficies... | |
| Peter Nicholson - 1825 - 372 sider
...hath no magnitude. 2. A line is length without breadth. 3. the extremities of a line are points. 4. **A straight line is that which lies evenly between its extreme points.** 5. A superficies is that which hath only length and breadth. 6. The extremities of a superficies are... | |
| John Radford Young - 1827 - 208 sider
...by any definition, a better notion of it than the mere mention of its name suggests. Euclid says, " **A straight line is that which lies evenly between its extreme points*;"** a definition which is both unsatisfactory and useless. Others, following Archimedes, define it as "the... | |
| Robert Simson - 1827 - 513 sider
...Note*, magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. **A straight line is that which lies evenly between its extreme points.** V. A superficies is that which hath only length and breadth. VI. The extremities of a superficies are... | |
| Augustus De Morgan - 1831
...on that subject. A point is defined to be that " which has no parts, and which has no magnitude ;" **a straight line is that which " lies evenly between its extreme points."** Now, let any one ask himself whether he could have guessed what was meant, if, before he began geometry,... | |
| Euclid, Robert Simson - 1835 - 513 sider
...v^y^/ See Notes. II. A line is length without breadth. III. The extremities of a line are points. IV. **A straight line is that which lies evenly between its extreme points.** V. A super/ides is that which hath only length and breadth. VI. The extremities of a superficies are... | |
| 1836
...cannot be mistaken for one moment, unless it be by means of the attempt to explain them by saying that **a straight line is ' that which lies evenly between its extreme points.'** The line and surface are distinct species of magnitude, as much so as the yard and the acre. The first... | |
| Euclides - 1838
...extremities of a line are points; and the intersection of one line with another is also a point. IB. **A straight line is that which lies evenly between its extreme points.** The idea of a geometrical straight line may be gained from that of a physical stretched line or thread.... | |
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